Question

Choose the correct alternative answer for the following question.

 What is the probability of the event that a number chosen from 1 to 100 is a prime number ?

Options

• `1/5  `

• `6/25 `

• ` 1/4`

• `13/50` 

Answer 1

Sample Space (S) = {1, 2, ......, 100}
∴ n(S) = 100
Event A: a prime number
A = {2, 3, 5,.....97}
∴ n(A) = 25

`therefore P(A) = (n(A))/(n(S))`

`=25/100`

`=1/4`